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Finding the Fourth Proportional to 304.54, 419.20 and 265.66

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Solution

The fourth proportional to 304.54, 419.20 and 265.66 is: 365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.54 : 419.20 = 265.66 : x
  2. Step 2: Convert to fraction form
    304.54/419.20 = 265.66/x
  3. Step 3: Cross multiply
    304.54x = 419.20 × 265.66
  4. Step 4: Simplify right side
    304.54x = 111,364.67
  5. Step 5: Solve for x
    x = 111,364.67/304.54
  6. Step 6: Final answer
    x = 365.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.